Acronym quit sissiddip Name quasitruncated-small-stellated-dodecahedron prism,small-stellated-truncated-dodecahedron prism Circumradius sqrt[(19-5 sqrt(5))/8] = 0.988665 Colonel of regiment (is itself locally convex – no other uniform polyhedral members) Dihedral angles at {4} between stiddip and stiddip:   arccos(-1/sqrt(5)) = 116.565051° at {5} between pip and quit sissid:   90° at {10/3} between quit sissid and stiddip:   90° at {4} between pip and stiddip:   arccos(1/sqrt(5)) = 63.434949° Externallinks

As abstract polytope quit sissiddip is isomorphic to tigiddip, thereby replacing pentagons by pentagrams and decagrams by decagons, resp replacing quit sissid by tigid, pip by stip, and stiddip by dip.

Incidence matrix according to Dynkin symbol

```x o5x5/3x

. . .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
----------+-----+-----------+-------------+--------
x . .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. . x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. . .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
----------+-----+-----------+-------------+--------
x . x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x . .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. . x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
----------+-----+-----------+-------------+--------
x o5x   . ♦  10 |  5  10  0 |  5  0  2  0 | 12  * *
x . x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5x5/3x ♦  60 |  0  60 30 |  0  0 12 12 |  *  * 2
```

```x o5/4x5/3x

. .   .   . | 120 |  1   2  1 |  2  1  1  2 |  1  2 1
------------+-----+-----------+-------------+--------
x .   .   . |   2 | 60   *  * |  2  1  0  0 |  1  2 0
. .   x   . |   2 |  * 120  * |  1  0  1  1 |  1  1 1
. .   .   x |   2 |  *   * 60 |  0  1  0  2 |  0  2 1
------------+-----+-----------+-------------+--------
x .   x   . |   4 |  2   2  0 | 60  *  *  * |  1  1 0
x .   .   x |   4 |  2   0  2 |  * 30  *  * |  0  2 0
. o5/4x   . |   5 |  0   5  0 |  *  * 24  * |  1  0 1
. .   x5/3x |  10 |  0   5  5 |  *  *  * 24 |  0  1 1
------------+-----+-----------+-------------+--------
x o5/4x   . ♦  10 |  5  10  0 |  5  0  2  0 | 12  * *
x .   x5/3x ♦  20 | 10  10 10 |  5  5  0  2 |  * 12 *
. o5/4x5/3x ♦  60 |  0  60 30 |  0  0 12 12 |  *  * 2
```